Simultaneous Quantum Transmission and Teleportation of Unknown Photons Using Intra- and Inter-particle Entanglement Controlled-NOT Gates via Cross-Kerr Nonlinearity and P-Homodyne Measurements

We propose an arbitrary controlled-unitary (CU) gate and a simultaneous quantum transmission and teleportation (SQTTP) scheme. The proposed CU gate utilizes photons with cross-Kerr nonlinearities (XKNLs), coherent superposition states (CSSs) and P-homodyne detectors and consists of the consecutive operation of a controlled-path (C-path) gate and a gathering-path (G-path) gate It is almost deterministic and feasible with current technology when strong CSSs and weak XKNLs are employed. Compared with the existing multi-qubit or controlled gates, which utilize XKNLs, coherent states, and X-homodyne detectors, the proposed CU gate can increase the feasibility of experimental realization, and enhance the robustness against the decoherence effect. Based on the CU gate, we present a SQTTP scheme that simultaneously transmits and teleports two unknown states of photons between two parties (Alice and Bob) using path-polarization intra-particle hybrid entanglement (IRHE) by transferring only a single photon. Consequently, it is possible to experimentally implement SQTTP with a certain success probability using the proposed CU gate.

[1]  F. Illuminati,et al.  Entanglement in neutrino oscillations , 2007, 0707.4476.

[2]  Nearly Deterministic Teleportation of a Photonic Qubit with Weak Cross-Kerr Nonlinearities , 2009 .

[3]  Somshubhro Bandyopadhyay,et al.  Bell's inequality for a single spin-1/2 particle and quantum contextuality , 2001 .

[4]  E. Knill,et al.  A scheme for efficient quantum computation with linear optics , 2001, Nature.

[5]  Qi Guo,et al.  Simplified optical quantum-information processing via weak cross-Kerr nonlinearities , 2011 .

[6]  M. Lukin,et al.  Controlling photons using electromagnetically induced transparency , 2001, Nature.

[7]  Zhong-Xiao Man,et al.  Genuine multiqubit entanglement and controlled teleportation , 2007 .

[8]  R. Loidl,et al.  Violation of a Bell-like inequality in single-neutron interferometry , 2003, Nature.

[9]  Charles H. Bennett,et al.  Teleporting an unknown quantum state via dual classical and Einstein-Podolsky-Rosen channels. , 1993, Physical review letters.

[10]  Guang-Can Guo,et al.  General form of genuine multipartite entanglement quantum channels for teleportation , 2006 .

[11]  Jian Li,et al.  Quantum control gates with weak cross-Kerr nonlinearity , 2008, 0811.3364.

[12]  Lukin,et al.  Nonlinear optics and quantum entanglement of ultraslow single photons , 2000, Physical review letters.

[13]  Weinfurter,et al.  Experiments towards falsification of noncontextual hidden variable theories , 2000, Physical review letters.

[14]  A. K. Pan,et al.  Swapping path-spin intraparticle entanglement onto spin-spin interparticle entanglement , 2009, 0909.0425.

[15]  Peng Shi,et al.  Generation of three-photon polarization-entangled GHZ state via linear optics and weak cross-Kerr nonlinearity , 2014 .

[16]  K. Boström,et al.  Deterministic secure direct communication using entanglement. , 2002, Physical review letters.

[17]  A. S. Majumdar,et al.  Information transfer using a single particle path-spin hybrid entangled state , 2010, 1002.3694.

[18]  Jongin Lim,et al.  Two-way Quantum Direct Communication Protocol Using Entanglement Swapping , 2010 .

[19]  Zhi-Ming Zhang,et al.  Generation of hyperentangled four-photon cluster state via cross-Kerr nonlinearity , 2014 .

[20]  G. Milburn,et al.  Linear optical quantum computing with photonic qubits , 2005, quant-ph/0512071.

[21]  M. Żukowski,et al.  Test of the Bell inequality based on phase and linear momentum as well as spin , 1991 .

[22]  H. Weinfurter,et al.  Experimental quantum teleportation , 1997, Nature.

[23]  Ying Sun,et al.  High-efficient quantum key distribution based on hybrid entanglement , 2011 .

[24]  W. Munro,et al.  A near deterministic linear optical CNOT gate , 2004 .

[25]  Jongin Lim,et al.  N quantum channels are sufficient for Multi-user Quantum Key Distribution protocol between n users , 2010 .

[26]  Jie Song,et al.  Complete hyperentanglement-assisted multi-photon Greenberger–Horne–Zeilinger states analysis with cross-Kerr nonlinearity , 2014 .

[27]  An-Ning Zhang,et al.  Experimental demonstration of a nondestructive controlled-NOT quantum gate for two independent photon qubits. , 2004, Physical review letters.

[28]  Kuan Fang Ren,et al.  General relation between the transformation operator and an invariant under stochastic local operations and classical communication in quantum teleportation , 2009 .

[29]  Johannes Kofler,et al.  Experimental violation of a Bell inequality with two different degrees of freedom of entangled particle pairs , 2009, 0904.3245.

[30]  Fuguo Deng,et al.  Efficient polarization-entanglement purification based on parametric down-conversion sources with cross-Kerr nonlinearity , 2008, 0805.0032.

[31]  K J Resch,et al.  Demonstration of a simple entangling optical gate and its use in bell-state analysis. , 2005, Physical review letters.

[32]  C. Hong,et al.  A Quantum Communication Protocol Transferring Unknown Photons Using Path-Polarization Hybrid Entanglement , 2013 .

[33]  C. Hong,et al.  Multi-user quantum network system and quantum communication using χ-type entangled states , 2012 .

[34]  G. Long,et al.  Controlled order rearrangement encryption for quantum key distribution , 2003, quant-ph/0308172.

[35]  Yu-Bo Sheng,et al.  Erratum: Efficient polarization-entanglement purification based on parametric down-conversion sources with cross-Kerr nonlinearity [Phys. Rev. A77, 042308 (2008)] , 2008 .

[36]  J. Marangos,et al.  Electromagnetically induced transparency : Optics in coherent media , 2005 .

[37]  Kae Nemoto,et al.  Weak nonlinearities: a new route to optical quantum computation , 2005, quant-ph/0507084.

[38]  Yan Xia,et al.  Effective Protocol for Generation of the Greenberger-Horne-Zeilinger State and Implementation of Controlled Phase Gate with Cross-Kerr Nonlinearity , 2014 .

[39]  Cheng Liu-Yong,et al.  Two-qubit and three-qubit controlled gates with cross-Kerr nonlinearity , 2013 .

[40]  Ekert,et al.  Quantum cryptography based on Bell's theorem. , 1991, Physical review letters.

[41]  Jongin Lim,et al.  A quantum network system of QSS-QDC using χ-type entangled states , 2012 .

[42]  Biao Wu,et al.  Generating multiphoton Greenberger-Horne-Zeilinger states with weak cross-Kerr nonlinearity , 2007 .

[43]  T. Spiller,et al.  Symmetry analyzer for nondestructive Bell-state detection using weak nonlinearities , 2004, quant-ph/0408117.